# How do you simplify the expression (m + 6)^2?

Apr 16, 2015

You can expand the expression ${\left(m + 6\right)}^{2}$ (although I am not sure this "simplifies" it.

${\left(m + 6\right)}^{2} = {m}^{2} + 12 m + 36$

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${\left(m + 6\right)}^{2}$

$= \left(m + 6\right) \times \left(m + 6\right)$

$= m \times \left(m + 6\right) + 6 \times \left(m + 6\right)$

$= \left({m}^{2} + 6 m\right) + \left(6 m + 36\right)$

$= {m}^{2} + 12 m + 36$

In general
${\left(a x + b\right)}^{2} = {\left(a x\right)}^{2} + 2 a b x + {b}^{2}$